x*6-55=x*4-7

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Solution for x*6-55=x*4-7 equation:


Simplifying
x * 6 + -55 = x * 4 + -7

Reorder the terms for easier multiplication:
6x + -55 = x * 4 + -7

Reorder the terms:
-55 + 6x = x * 4 + -7

Reorder the terms for easier multiplication:
-55 + 6x = 4x + -7

Reorder the terms:
-55 + 6x = -7 + 4x

Solving
-55 + 6x = -7 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-55 + 6x + -4x = -7 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-55 + 2x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-55 + 2x = -7 + 0
-55 + 2x = -7

Add '55' to each side of the equation.
-55 + 55 + 2x = -7 + 55

Combine like terms: -55 + 55 = 0
0 + 2x = -7 + 55
2x = -7 + 55

Combine like terms: -7 + 55 = 48
2x = 48

Divide each side by '2'.
x = 24

Simplifying
x = 24

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